Q.

For a transverse wave travelling along a straight line, the distance between two peaks (crests) is 5 m, while the distance between one crest and one trough is 1.5 m. The possible wavelengths (in m) of the waves are :

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a

1, 2, 3, .....

b

12,  14,  16, .....

c

1, 3, 5, .....

d

11,  13,  15, .....

answer is D.

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Detailed Solution

Distance between crests  =n λ=5So  λ=5n m  ........  1Also distance between a crest and trough is given as 1.5 m ⇒   2k−1λ2=1.5 So  λ=32k−1  .......  21,  2  satisfy, n2k−1=53=159=2515 ⇒   n∈5,  15,  25, .......So  λ∈1,  13,  15 ,........
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